For the month of January in a certain city, 42% of the days are cloudy. Also in the month of January in the same city, 41% o
f the days are cloudy and rainy. What is the probability that a randomly selected day in January will be rainy if it is cloudy?
1 answer:
Answer: 0.9762
Step-by-step explanation:
Let A be the event that days are cloudy and B be the event that days are rainy for January month .
Given : The probability that the days are cloudy = 
The probability that the days are cloudy and rainy = 
Now, the conditional probability that a randomly selected day in January will be rainy if it is cloudy is given by :-

Hence, the probability that a randomly selected day in January will be rainy if it is cloudy = 0.9762
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